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Questions tagged [linearization]

Linearization refers to finding the linear approximation to a function at a given point. Linearization is a method for assessing the local stability of an equilibrium point of a dynamic system, either composed of nonlinear differential equations or discrete dynamical systems.

Linearization refers to finding the linear approximation to a function at a given point. Linearization is a method for assessing the local stability of an equilibrium point of a dynamic system, either composed of nonlinear differential equations or discrete dynamical systems. This method is used in fields such as applied math, engineering, physics, economics, and so forth.

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How to linearise constraint including summation and min in an optimisation problem?

I have the following constraint to an optimisation problem: Σ min(wj,0) ≥ −30 for j = 1,...,n How can I linearise it introducing only n new non-binary decision variables?
James
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How to linearize this data for a specific relationship in MATLAB?

I have data that y and x don't have a linear trend. The data as follows and if you plot y as a function of x, the plot is nonlinear. x= [45.5976, 45.6311, 45.6599, 45.679, 45.703, 45.7461, 45.7749] y = [0.17, 1.7, 5.1, 17, 51, 170,…
Nini
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Can I use a lookup table instead of a 5 degree polynomial equation between three variables in a non-linear optimization model?

I am having a non-linear optimization model with several variables and a certain function between three of them should be defined as a constraint. (Let us say, that the efficiency of a machine is dependent on the inlet and outlet temperatures). I…
Kristof
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How to linearize a quadratic objective function

I have an optimization problem. The objective is defined as follows: Max∑(k=1)∑(t=1)(r_k (t))^2 enter image description here constraints are linear How to linearize this objective function?
sorayya
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Linearization for Optimization in CPLEX

I have tried to solve an optimisation problem which has quadratic constraint. I need an linearize form of the constraint. I am looking for a way to do that for the following equality constraint: z == x*(x-y); where x and y are continuous decision…
Shouruv
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Linearize the generated pdf from BIRT

I have a problem in generating the pdf report in BIRT. When I generate the pdf report, it is downloaded in browser. When i checked the properties of the generated pdf(File -> Properties) . Fast Web View is assigned to No. It should be Yes. It…
vik
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Determination of Linearization order

How exactly is linearization order determined. How can it be said that Linearization order of the following code is the order in which released by wait(). How can it be checked whether the code is linearizable? class Buffer { int in = 0; …
softwarematter
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Excel Solver linearity conditions

Excel's Solver is telling me "the linearity conditions required by this LP Solver are not satisfied." It's lying! Does anyone know what the linearity conditions LP Solver requires actually are? I suspect this is a formatting issue. I've searched…
DataProphets
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In an 8-bit tiff file produced by a phantom highspeed cam, how is the pixel data stored and read into matlab?

I want to determine the temperature of burning coal particles using two colour-pyrometry (analysis of the color channels in the pixles). That is why I need to have very specific information about how the camera saves the images in the formats .raw…
matchacamel
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Linearization of a constraint for java/cplex

I have a constraint that i need to incorporate in my java/cplex program. the constraint is: (forall q: x[i][j][q][k])(t[i][k]+s[i]+distance[i][j]-t[j][k]) <= 0 forall k, i, j if I put it in just like that, I get the cplex 5002 (is not…
Hendrik
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Matlab syms for linearization of bilinear expressions

I have a system of nonlinear(bilinear) equations and would like to linearize it in most automated way. I thought that i could use syms for this task, for sure not only way to do this, could you share your experience how to do this. syms …
Ataman102
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System linearization with Maple - does not evaluate to a module error

I'm trying to apply the steps provided in this tutorial in order to linearize a system using Maple. Create your system of non linear equations Define your linearization points Call the Linearize function and you are done. I've tried with my system…
UserK
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Mathematical equation to linearize numerical sequence

I am looking for a mathematical formula (or logical/java programmatic method, but preferably raw mathematical) that will take a given, unique, series of numbers and linearize them. EG: 1,2,4,7,10 ==> 0,1,2,3,4. The linearized order must represent…
user1695505
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Matlab, studying nonlinear systems without simulink

How can I study nonlinear dynamic systems with matlab (and without using Symulink)? For example, how can I linearize a system around a point or how can I determine the nature of an equilibrium point? Thanks For example, how can I solve exercise 1…
fortea
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Quickly adding a cover page to a pre-linearized PDF for streaming to browser?

Question 298829 describes how linearizing your PDFs lets them stream page-by-page into the user's browser, so the user doesn't have to wait for the whole document to download before starting to view it. We have been using such PDFs successfully, but…
Chris
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